Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.an4u)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]

Specific values

For integer and half-integer parameters and fixed z

For fixed z and a₁=9/2, a₂>=9/2

For fixed z and a₁=9/2, a₂=6, b₁>=-11/2

For fixed z and a₁=9/2, a₂=6, b₁=-1/2

http://functions.wolfram.com/07.25.03.an4u.01

Input Form

HypergeometricPFQ[{9/2, 6}, {-(1/2), 11/2}, -z] == (1/(640 z^4)) (3 (-12600 - 4200 z - 1260 z^2 - 300 z^3 + 155 z^4 + 2085 z^5 - 4900 z^6 + 2312 z^7 - 352 z^8 + 16 z^9)) - (1/(1280 z^(9/2))) ((3 Sqrt[Pi] (-12600 - 12600 z - 6300 z^2 - 2100 z^3 - 525 z^4 - 105 z^5 + 7490 z^6 - 11800 z^7 + 4960 z^8 - 720 z^9 + 32 z^10) Erfi[Sqrt[z]])/E^z)

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2007-05-02

HypergeometricPFQ[{},{},z]
HypergeometricPFQ[{},{b},z]
HypergeometricPFQ[{a},{},z]
HypergeometricPFQ[{a},{b},z]
HypergeometricPFQ[{a₁},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂},{b₁},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅},{b₁,b₂,b₃,b₄},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅,a₆},{b₁,b₂,b₃,b₄,b₅},z]
HypergeometricPFQ[{a₁,...,a_p},{b₁,...,b_q},z]